Acute triangle ABC satisfies ∠A>∠C. Let D,E,F be the points that the triangle's incircle intersects with BC,CA,AB, respectively, and P some point on AF different from F. The angle bisector of ∠ABC meets PQR's circumcircle O at L,R. L is the point closer to B than R. O meets DF,DR at point Q(=F,L),S(=R) respectively, and PS hits segment BC at T. Show that T,Q,L are collinear. geometryangle bisectorcircumcircle